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Tom thinks of a number. He squares it, adds 3 times the original number and then subtracts 18. The result is 0. What two numbers could Tom have been thinking of?

Formulate the problem algebraically:x 2 +3x-18=0This is a factorisation problem. To find the solutions, factorise:-Factors of x 2 are 1 and 1 , so answer will take the form: (x +- ?)(x +- ?)=0-List pairs of ...
GH
Answered by George H. • Maths tutor
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Prove that the square of an odd number is always 1 more than a multiple of 4

This is a nice little question off the 2018 Edexcel Higher Maths paper! When we heard the word 'prove' in a question at this level, automatically we should be thinking about using algebra to help us out! Fir...
TR
Answered by Thomas R. • Maths tutor
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Solve the simultaneous equations: 3x-y=1, x^2+y^2=5

x=1, y=2 x=-2/5, y=-11/5
CW
Answered by Chloe W. • Maths tutor
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Work out the value of the following:

36 1/2 = 6(The square root of 36 is 6) 2) 23 0 = 1(Anything to the power of 0 is 1) 3) 27 -2/3 = 3 -2 = 1/3 2 = 1/9
HA
Answered by Hafsah A. • Maths tutor
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How do you find a missing side length in a right-angled triangle?

Use Pythagoras' theorem. a 2 + b 2 = c 2 . The longest side of the triangle is the hypotenuse, and it is the side opposite the right angle. We use the length of this side as 'c' if we have it. 'a' and 'b' ar...
JD
Answered by James D. • Maths tutor
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